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Finding the Fourth Proportional to 13,691.21, 18,910.22 and 9,729.50

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Solution

The fourth proportional to 13,691.21, 18,910.22 and 9,729.50 is: 13,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.21 : 18,910.22 = 9,729.50 : x
  2. Step 2: Convert to fraction form
    13,691.21/18,910.22 = 9,729.50/x
  3. Step 3: Cross multiply
    13,691.21x = 18,910.22 × 9,729.50
  4. Step 4: Simplify right side
    13,691.21x = 183,986,842.29
  5. Step 5: Solve for x
    x = 183,986,842.29/13,691.21
  6. Step 6: Final answer
    x = 13,438.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.